Search a number
-
+
12322410120 = 2334517921247
BaseRepresentation
bin10110111100111100…
…10000111010001000
31011210202210021220000
423132132100322020
5200214014110440
65354424003000
7614234520636
oct133636207210
934722707800
1012322410120
115253752119
12247a900460
131214baaa47
1484c786356
154c1c09730
hex2de790e88

12322410120 has 160 divisors (see below), whose sum is σ = 41650329600. Its totient is φ = 3267464832.

The previous prime is 12322410091. The next prime is 12322410127. The reversal of 12322410120 is 2101422321.

It is a happy number.

12322410120 is a `hidden beast` number, since 1 + 232 + 2 + 410 + 1 + 20 = 666.

12322410120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12322410093 and 12322410102.

It is not an unprimeable number, because it can be changed into a prime (12322410127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 569337 + ... + 590583.

It is an arithmetic number, because the mean of its divisors is an integer number (260314560).

Almost surely, 212322410120 is an apocalyptic number.

12322410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20825164800).

12322410120 is an abundant number, since it is smaller than the sum of its proper divisors (29327919480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12322410120 is a wasteful number, since it uses less digits than its factorization.

12322410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21449 (or 21436 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12322410120 its reverse (2101422321), we get a palindrome (14423832441).

The spelling of 12322410120 in words is "twelve billion, three hundred twenty-two million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 179 180 216 270 324 358 360 405 537 540 648 716 810 895 1074 1080 1432 1611 1620 1790 2148 2685 3222 3240 3580 4296 4833 5370 6444 7160 8055 9666 10740 12888 14499 16110 19332 21247 21480 24165 28998 32220 38664 42494 48330 57996 63741 64440 72495 84988 96660 106235 115992 127482 144990 169976 191223 193320 212470 254964 289980 318705 382446 424940 509928 573669 579960 637410 764892 849880 956115 1147338 1274820 1529784 1721007 1912230 2294676 2549640 2868345 3442014 3803213 3824460 4589352 5736690 6884028 7606426 7648920 8605035 11409639 11473380 13768056 15212852 17210070 19016065 22819278 22946760 30425704 34228917 34420140 38032130 45638556 57048195 68457834 68840280 76064260 91277112 102686751 114096390 136915668 152128520 171144585 205373502 228192780 273831336 308060253 342289170 410747004 456385560 513433755 616120506 684578340 821494008 1026867510 1232241012 1369156680 1540301265 2053735020 2464482024 3080602530 4107470040 6161205060 12322410120